---
_id: '14318'
abstract:
- lang: eng
text: "Probabilistic recurrence relations (PRRs) are a standard formalism for describing
the runtime of a randomized algorithm. Given a PRR and a time limit κ, we consider
the tail probability Pr[T≥κ], i.e., the probability that the randomized runtime
T of the PRR exceeds κ. Our focus is the formal analysis of tail bounds that aims
at finding a tight asymptotic upper bound u≥Pr[T≥κ]. To address this problem,
the classical and most well-known approach is the cookbook method by Karp (JACM
1994), while other approaches are mostly limited to deriving tail bounds of specific
PRRs via involved custom analysis.\r\nIn this work, we propose a novel approach
for deriving the common exponentially-decreasing tail bounds for PRRs whose preprocessing
time and random passed sizes observe discrete or (piecewise) uniform distribution
and whose recursive call is either a single procedure call or a divide-and-conquer.
We first establish a theoretical approach via Markov’s inequality, and then instantiate
the theoretical approach with a template-based algorithmic approach via a refined
treatment of exponentiation. Experimental evaluation shows that our algorithmic
approach is capable of deriving tail bounds that are (i) asymptotically tighter
than Karp’s method, (ii) match the best-known manually-derived asymptotic tail
bound for QuickSelect, and (iii) is only slightly worse (with a loglogn factor)
than the manually-proven optimal asymptotic tail bound for QuickSort. Moreover,
our algorithmic approach handles all examples (including realistic PRRs such as
QuickSort, QuickSelect, DiameterComputation, etc.) in less than 0.1 s, showing
that our approach is efficient in practice."
acknowledgement: We thank Prof. Bican Xia for valuable information on the exponential
theory of reals. The work is partially supported by the National Natural Science
Foundation of China (NSFC) with Grant No. 62172271, ERC CoG 863818 (ForM-SMArt),
the Hong Kong Research Grants Council ECS Project Number 26208122, the HKUST-Kaisa
Joint Research Institute Project Grant HKJRI3A-055 and the HKUST Startup Grant R9272.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Yican
full_name: Sun, Yican
last_name: Sun
- first_name: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: 'Sun Y, Fu H, Chatterjee K, Goharshady AK. Automated tail bound analysis for probabilistic
recurrence relations. In: Computer Aided Verification. Vol 13966. Springer
Nature; 2023:16-39. doi:10.1007/978-3-031-37709-9_2'
apa: 'Sun, Y., Fu, H., Chatterjee, K., & Goharshady, A. K. (2023). Automated
tail bound analysis for probabilistic recurrence relations. In Computer Aided
Verification (Vol. 13966, pp. 16–39). Paris, France: Springer Nature. https://doi.org/10.1007/978-3-031-37709-9_2'
chicago: Sun, Yican, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar Goharshady.
“Automated Tail Bound Analysis for Probabilistic Recurrence Relations.” In Computer
Aided Verification, 13966:16–39. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-37709-9_2.
ieee: Y. Sun, H. Fu, K. Chatterjee, and A. K. Goharshady, “Automated tail bound
analysis for probabilistic recurrence relations,” in Computer Aided Verification,
Paris, France, 2023, vol. 13966, pp. 16–39.
ista: 'Sun Y, Fu H, Chatterjee K, Goharshady AK. 2023. Automated tail bound analysis
for probabilistic recurrence relations. Computer Aided Verification. CAV: Computer
Aided Verification, LNCS, vol. 13966, 16–39.'
mla: Sun, Yican, et al. “Automated Tail Bound Analysis for Probabilistic Recurrence
Relations.” Computer Aided Verification, vol. 13966, Springer Nature, 2023,
pp. 16–39, doi:10.1007/978-3-031-37709-9_2.
short: Y. Sun, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Computer Aided Verification,
Springer Nature, 2023, pp. 16–39.
conference:
end_date: 2023-07-22
location: Paris, France
name: 'CAV: Computer Aided Verification'
start_date: 2023-07-17
date_created: 2023-09-10T22:01:12Z
date_published: 2023-07-17T00:00:00Z
date_updated: 2025-09-09T12:55:28Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-37709-9_2
ec_funded: 1
external_id:
isi:
- '001310805600002'
file:
- access_level: open_access
checksum: 42917e086f8c7699f3bccf84f74fe000
content_type: application/pdf
creator: dernst
date_created: 2023-09-20T08:24:47Z
date_updated: 2023-09-20T08:24:47Z
file_id: '14348'
file_name: 2023_LNCS_Sun.pdf
file_size: 624647
relation: main_file
success: 1
file_date_updated: 2023-09-20T08:24:47Z
has_accepted_license: '1'
intvolume: ' 13966'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '07'
oa: 1
oa_version: Published Version
page: 16-39
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Computer Aided Verification
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031377082'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/boyvolcano/PRR
scopus_import: '1'
status: public
title: Automated tail bound analysis for probabilistic recurrence relations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13966
year: '2023'
...
---
_id: '14417'
abstract:
- lang: eng
text: Entropic risk (ERisk) is an established risk measure in finance, quantifying
risk by an exponential re-weighting of rewards. We study ERisk for the first time
in the context of turn-based stochastic games with the total reward objective.
This gives rise to an objective function that demands the control of systems in
a risk-averse manner. We show that the resulting games are determined and, in
particular, admit optimal memoryless deterministic strategies. This contrasts
risk measures that previously have been considered in the special case of Markov
decision processes and that require randomization and/or memory. We provide several
results on the decidability and the computational complexity of the threshold
problem, i.e. whether the optimal value of ERisk exceeds a given threshold. In
the most general case, the problem is decidable subject to Shanuel’s conjecture.
If all inputs are rational, the resulting threshold problem can be solved using
algebraic numbers, leading to decidability via a polynomial-time reduction to
the existential theory of the reals. Further restrictions on the encoding of the
input allow the solution of the threshold problem in NP∩coNP. Finally, an approximation
algorithm for the optimal value of ERisk is provided.
acknowledgement: "This work was partly funded by the ERC CoG 863818 (ForM-SMArt),
the DFG Grant\r\n389792660 as part of TRR 248 (Foundations of Perspicuous Software
Systems), the Cluster of\r\nExcellence EXC 2050/1 (CeTI, project ID 390696704, as
part of Germany’s Excellence Strategy), and the DFG projects BA-1679/11-1 and BA-1679/12-1."
alternative_title:
- LIPIcs
article_number: '15'
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Christel
full_name: Baier, Christel
last_name: Baier
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Jakob
full_name: Piribauer, Jakob
last_name: Piribauer
citation:
ama: 'Baier C, Chatterjee K, Meggendorfer T, Piribauer J. Entropic risk for turn-based
stochastic games. In: 48th International Symposium on Mathematical Foundations
of Computer Science. Vol 272. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2023. doi:10.4230/LIPIcs.MFCS.2023.15'
apa: 'Baier, C., Chatterjee, K., Meggendorfer, T., & Piribauer, J. (2023). Entropic
risk for turn-based stochastic games. In 48th International Symposium on Mathematical
Foundations of Computer Science (Vol. 272). Bordeaux, France: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2023.15'
chicago: Baier, Christel, Krishnendu Chatterjee, Tobias Meggendorfer, and Jakob
Piribauer. “Entropic Risk for Turn-Based Stochastic Games.” In 48th International
Symposium on Mathematical Foundations of Computer Science, Vol. 272. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2023. https://doi.org/10.4230/LIPIcs.MFCS.2023.15.
ieee: C. Baier, K. Chatterjee, T. Meggendorfer, and J. Piribauer, “Entropic risk
for turn-based stochastic games,” in 48th International Symposium on Mathematical
Foundations of Computer Science, Bordeaux, France, 2023, vol. 272.
ista: 'Baier C, Chatterjee K, Meggendorfer T, Piribauer J. 2023. Entropic risk for
turn-based stochastic games. 48th International Symposium on Mathematical Foundations
of Computer Science. MFCS: Mathematical Foundations of Computer Science, LIPIcs,
vol. 272, 15.'
mla: Baier, Christel, et al. “Entropic Risk for Turn-Based Stochastic Games.” 48th
International Symposium on Mathematical Foundations of Computer Science, vol.
272, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:10.4230/LIPIcs.MFCS.2023.15.
short: C. Baier, K. Chatterjee, T. Meggendorfer, J. Piribauer, in:, 48th International
Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
Leibniz-Zentrum für Informatik, 2023.
conference:
end_date: 2023-09-01
location: Bordeaux, France
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2023-08-28
corr_author: '1'
date_created: 2023-10-09T09:21:05Z
date_published: 2023-08-21T00:00:00Z
date_updated: 2025-09-08T09:10:05Z
day: '21'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2023.15
ec_funded: 1
external_id:
arxiv:
- '2307.06611'
file:
- access_level: open_access
checksum: 402281b17ed669bbf149d0fdf68ac201
content_type: application/pdf
creator: dernst
date_created: 2023-10-09T09:19:11Z
date_updated: 2023-10-09T09:19:11Z
file_id: '14418'
file_name: 2023_LIPIcsMFCS_Baier.pdf
file_size: 826843
relation: main_file
success: 1
file_date_updated: 2023-10-09T09:19:11Z
has_accepted_license: '1'
intvolume: ' 272'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 48th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
eissn:
- 1868-8969
isbn:
- '9783959772921'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '17474'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Entropic risk for turn-based stochastic games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 272
year: '2023'
...
---
_id: '14456'
abstract:
- lang: eng
text: In this paper, we present novel algorithms that efficiently compute a shortest
reconfiguration sequence between two given dominating sets in trees and interval
graphs under the TOKEN SLIDING model. In this problem, a graph is provided along
with its two dominating sets, which can be imagined as tokens placed on vertices.
The objective is to find a shortest sequence of dominating sets that transforms
one set into the other, with each set in the sequence resulting from sliding a
single token in the previous set. While identifying any sequence has been well
studied, our work presents the first polynomial algorithms for this optimization
variant in the context of dominating sets.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan Matyáš
full_name: Křišťan, Jan Matyáš
last_name: Křišťan
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
citation:
ama: 'Křišťan JM, Svoboda J. Shortest dominating set reconfiguration under token
sliding. In: 24th International Symposium on Fundamentals of Computation Theory.
Vol 14292. Springer Nature; 2023:333-347. doi:10.1007/978-3-031-43587-4_24'
apa: 'Křišťan, J. M., & Svoboda, J. (2023). Shortest dominating set reconfiguration
under token sliding. In 24th International Symposium on Fundamentals of Computation
Theory (Vol. 14292, pp. 333–347). Trier, Germany: Springer Nature. https://doi.org/10.1007/978-3-031-43587-4_24'
chicago: Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration
under Token Sliding.” In 24th International Symposium on Fundamentals of Computation
Theory, 14292:333–47. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-43587-4_24.
ieee: J. M. Křišťan and J. Svoboda, “Shortest dominating set reconfiguration under
token sliding,” in 24th International Symposium on Fundamentals of Computation
Theory, Trier, Germany, 2023, vol. 14292, pp. 333–347.
ista: 'Křišťan JM, Svoboda J. 2023. Shortest dominating set reconfiguration under
token sliding. 24th International Symposium on Fundamentals of Computation Theory.
FCT: Fundamentals of Computation Theory, LNCS, vol. 14292, 333–347.'
mla: Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration
under Token Sliding.” 24th International Symposium on Fundamentals of Computation
Theory, vol. 14292, Springer Nature, 2023, pp. 333–47, doi:10.1007/978-3-031-43587-4_24.
short: J.M. Křišťan, J. Svoboda, in:, 24th International Symposium on Fundamentals
of Computation Theory, Springer Nature, 2023, pp. 333–347.
conference:
end_date: 2023-09-21
location: Trier, Germany
name: 'FCT: Fundamentals of Computation Theory'
start_date: 2023-09-18
date_created: 2023-10-29T23:01:16Z
date_published: 2023-09-21T00:00:00Z
date_updated: 2025-09-09T13:07:40Z
day: '21'
department:
- _id: KrCh
doi: 10.1007/978-3-031-43587-4_24
external_id:
arxiv:
- '2307.10847'
isi:
- '001162288800024'
intvolume: ' 14292'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2307.10847
month: '09'
oa: 1
oa_version: Preprint
page: 333-347
publication: 24th International Symposium on Fundamentals of Computation Theory
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031435867'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1007/978-3-031-43587-4_31
scopus_import: '1'
status: public
title: Shortest dominating set reconfiguration under token sliding
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 14292
year: '2023'
...
---
_id: '14518'
abstract:
- lang: eng
text: We consider bidding games, a class of two-player zero-sum graph games. The
game proceeds as follows. Both players have bounded budgets. A token is placed
on a vertex of a graph, in each turn the players simultaneously submit bids, and
the higher bidder moves the token, where we break bidding ties in favor of Player
1. Player 1 wins the game iff the token visits a designated target vertex. We
consider, for the first time, poorman discrete-bidding in which the granularity
of the bids is restricted and the higher bid is paid to the bank. Previous work
either did not impose granularity restrictions or considered Richman bidding (bids
are paid to the opponent). While the latter mechanisms are technically more accessible,
the former is more appealing from a practical standpoint. Our study focuses on
threshold budgets, which is the necessary and sufficient initial budget required
for Player 1 to ensure winning against a given Player 2 budget. We first show
existence of thresholds. In DAGs, we show that threshold budgets can be approximated
with error bounds by thresholds under continuous-bidding and that they exhibit
a periodic behavior. We identify closed-form solutions in special cases. We implement
and experiment with an algorithm to find threshold budgets.
acknowledgement: This research was supported in part by ISF grant no. 1679/21, ERC
CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation
programme under the Marie SkłodowskaCurie Grant Agreement No. 665385.
article_processing_charge: No
arxiv: 1
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Suman
full_name: Sadhukhan, Suman
last_name: Sadhukhan
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Avni G, Meggendorfer T, Sadhukhan S, Tkadlec J, Zikelic D. Reachability poorman
discrete-bidding games. In: Frontiers in Artificial Intelligence and Applications.
Vol 372. IOS Press; 2023:141-148. doi:10.3233/FAIA230264'
apa: 'Avni, G., Meggendorfer, T., Sadhukhan, S., Tkadlec, J., & Zikelic, D.
(2023). Reachability poorman discrete-bidding games. In Frontiers in Artificial
Intelligence and Applications (Vol. 372, pp. 141–148). Krakow, Poland: IOS
Press. https://doi.org/10.3233/FAIA230264'
chicago: Avni, Guy, Tobias Meggendorfer, Suman Sadhukhan, Josef Tkadlec, and Dorde
Zikelic. “Reachability Poorman Discrete-Bidding Games.” In Frontiers in Artificial
Intelligence and Applications, 372:141–48. IOS Press, 2023. https://doi.org/10.3233/FAIA230264.
ieee: G. Avni, T. Meggendorfer, S. Sadhukhan, J. Tkadlec, and D. Zikelic, “Reachability
poorman discrete-bidding games,” in Frontiers in Artificial Intelligence and
Applications, Krakow, Poland, 2023, vol. 372, pp. 141–148.
ista: 'Avni G, Meggendorfer T, Sadhukhan S, Tkadlec J, Zikelic D. 2023. Reachability
poorman discrete-bidding games. Frontiers in Artificial Intelligence and Applications.
ECAI: European Conference on Artificial Intelligence vol. 372, 141–148.'
mla: Avni, Guy, et al. “Reachability Poorman Discrete-Bidding Games.” Frontiers
in Artificial Intelligence and Applications, vol. 372, IOS Press, 2023, pp.
141–48, doi:10.3233/FAIA230264.
short: G. Avni, T. Meggendorfer, S. Sadhukhan, J. Tkadlec, D. Zikelic, in:, Frontiers
in Artificial Intelligence and Applications, IOS Press, 2023, pp. 141–148.
conference:
end_date: 2023-10-04
location: Krakow, Poland
name: 'ECAI: European Conference on Artificial Intelligence'
start_date: 2023-09-30
corr_author: '1'
date_created: 2023-11-12T23:00:56Z
date_published: 2023-09-28T00:00:00Z
date_updated: 2025-03-31T16:01:09Z
day: '28'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.3233/FAIA230264
ec_funded: 1
external_id:
arxiv:
- '2307.15218'
file:
- access_level: open_access
checksum: 1390ca38480fa4cf286b0f1a42e8c12f
content_type: application/pdf
creator: dernst
date_created: 2023-11-13T10:16:10Z
date_updated: 2023-11-13T10:16:10Z
file_id: '14529'
file_name: 2023_FAIA_Avni.pdf
file_size: 501011
relation: main_file
success: 1
file_date_updated: 2023-11-13T10:16:10Z
has_accepted_license: '1'
intvolume: ' 372'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '09'
oa: 1
oa_version: Published Version
page: 141-148
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Frontiers in Artificial Intelligence and Applications
publication_identifier:
isbn:
- '9781643684369'
issn:
- 0922-6389
publication_status: published
publisher: IOS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Reachability poorman discrete-bidding games
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 372
year: '2023'
...
---
OA_place: publisher
_id: '14539'
abstract:
- lang: eng
text: "Stochastic systems provide a formal framework for modelling and quantifying
uncertainty in systems and have been widely adopted in many application domains.
Formal\r\nverification and control of finite state stochastic systems, a subfield
of formal methods\r\nalso known as probabilistic model checking, is well studied.
In contrast, formal verification and control of infinite state stochastic systems
have received comparatively\r\nless attention. However, infinite state stochastic
systems commonly arise in practice.\r\nFor instance, probabilistic models that
contain continuous probability distributions such\r\nas normal or uniform, or
stochastic dynamical systems which are a classical model for\r\ncontrol under
uncertainty, both give rise to infinite state systems.\r\nThe goal of this thesis
is to contribute to laying theoretical and algorithmic foundations\r\nof fully
automated formal verification and control of infinite state stochastic systems,\r\nwith
a particular focus on systems that may be executed over a long or infinite time.\r\nWe
consider formal verification of infinite state stochastic systems in the setting
of\r\nstatic analysis of probabilistic programs and formal control in the setting
of controller\r\nsynthesis in stochastic dynamical systems. For both problems,
we present some of the\r\nfirst fully automated methods for probabilistic (a.k.a.
quantitative) reachability and\r\nsafety analysis applicable to infinite time
horizon systems. We also advance the state\r\nof the art of probability 1 (a.k.a.
qualitative) reachability analysis for both problems.\r\nFinally, for formal controller
synthesis in stochastic dynamical systems, we present a\r\nnovel framework for
learning neural network control policies in stochastic dynamical\r\nsystems with
formal guarantees on correctness with respect to quantitative reachability,\r\nsafety
or reach-avoid specifications.\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: Zikelic D. Automated verification and control of infinite state stochastic
systems. 2023. doi:10.15479/14539
apa: Zikelic, D. (2023). Automated verification and control of infinite state
stochastic systems. Institute of Science and Technology Austria. https://doi.org/10.15479/14539
chicago: Zikelic, Dorde. “Automated Verification and Control of Infinite State Stochastic
Systems.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/14539.
ieee: D. Zikelic, “Automated verification and control of infinite state stochastic
systems,” Institute of Science and Technology Austria, 2023.
ista: Zikelic D. 2023. Automated verification and control of infinite state stochastic
systems. Institute of Science and Technology Austria.
mla: Zikelic, Dorde. Automated Verification and Control of Infinite State Stochastic
Systems. Institute of Science and Technology Austria, 2023, doi:10.15479/14539.
short: D. Zikelic, Automated Verification and Control of Infinite State Stochastic
Systems, Institute of Science and Technology Austria, 2023.
corr_author: '1'
date_created: 2023-11-15T13:39:10Z
date_published: 2023-11-15T00:00:00Z
date_updated: 2026-04-07T13:27:56Z
day: '15'
ddc:
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department:
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- _id: GradSch
doi: 10.15479/14539
ec_funded: 1
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month: '11'
oa: 1
oa_version: Published Version
page: '256'
project:
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call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
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name: International IST Doctoral Program
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issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
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status: public
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relation: part_of_dissertation
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- id: '12511'
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relation: part_of_dissertation
status: public
- id: '1194'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: Automated verification and control of infinite state stochastic systems
tmp:
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legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2023'
...
---
_id: '14559'
abstract:
- lang: eng
text: We consider the problem of learning control policies in discrete-time stochastic
systems which guarantee that the system stabilizes within some specified stabilization
region with probability 1. Our approach is based on the novel notion of stabilizing
ranking supermartingales (sRSMs) that we introduce in this work. Our sRSMs overcome
the limitation of methods proposed in previous works whose applicability is restricted
to systems in which the stabilizing region cannot be left once entered under any
control policy. We present a learning procedure that learns a control policy together
with an sRSM that formally certifies probability 1 stability, both learned as
neural networks. We show that this procedure can also be adapted to formally verifying
that, under a given Lipschitz continuous control policy, the stochastic system
stabilizes within some stabilizing region with probability 1. Our experimental
evaluation shows that our learning procedure can successfully learn provably stabilizing
policies in practice.
acknowledgement: This work was supported in part by the ERC-2020-AdG 101020093, ERC
CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Matin
full_name: Ansaripour, Matin
last_name: Ansaripour
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Ansaripour M, Chatterjee K, Henzinger TA, Lechner M, Zikelic D. Learning provably
stabilizing neural controllers for discrete-time stochastic systems. In: 21st
International Symposium on Automated Technology for Verification and Analysis.
Vol 14215. Springer Nature; 2023:357-379. doi:10.1007/978-3-031-45329-8_17'
apa: 'Ansaripour, M., Chatterjee, K., Henzinger, T. A., Lechner, M., & Zikelic,
D. (2023). Learning provably stabilizing neural controllers for discrete-time
stochastic systems. In 21st International Symposium on Automated Technology
for Verification and Analysis (Vol. 14215, pp. 357–379). Singapore, Singapore:
Springer Nature. https://doi.org/10.1007/978-3-031-45329-8_17'
chicago: Ansaripour, Matin, Krishnendu Chatterjee, Thomas A Henzinger, Mathias Lechner,
and Dorde Zikelic. “Learning Provably Stabilizing Neural Controllers for Discrete-Time
Stochastic Systems.” In 21st International Symposium on Automated Technology
for Verification and Analysis, 14215:357–79. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-45329-8_17.
ieee: M. Ansaripour, K. Chatterjee, T. A. Henzinger, M. Lechner, and D. Zikelic,
“Learning provably stabilizing neural controllers for discrete-time stochastic
systems,” in 21st International Symposium on Automated Technology for Verification
and Analysis, Singapore, Singapore, 2023, vol. 14215, pp. 357–379.
ista: 'Ansaripour M, Chatterjee K, Henzinger TA, Lechner M, Zikelic D. 2023. Learning
provably stabilizing neural controllers for discrete-time stochastic systems.
21st International Symposium on Automated Technology for Verification and Analysis.
ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 14215, 357–379.'
mla: Ansaripour, Matin, et al. “Learning Provably Stabilizing Neural Controllers
for Discrete-Time Stochastic Systems.” 21st International Symposium on Automated
Technology for Verification and Analysis, vol. 14215, Springer Nature, 2023,
pp. 357–79, doi:10.1007/978-3-031-45329-8_17.
short: M. Ansaripour, K. Chatterjee, T.A. Henzinger, M. Lechner, D. Zikelic, in:,
21st International Symposium on Automated Technology for Verification and Analysis,
Springer Nature, 2023, pp. 357–379.
conference:
end_date: 2023-10-27
location: Singapore, Singapore
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2023-10-24
corr_author: '1'
date_created: 2023-11-19T23:00:56Z
date_published: 2023-10-22T00:00:00Z
date_updated: 2025-09-09T13:20:26Z
day: '22'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-031-45329-8_17
ec_funded: 1
external_id:
arxiv:
- '2210.05304'
isi:
- '001456127300017'
intvolume: ' 14215'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2210.05304'
month: '10'
oa: 1
oa_version: Preprint
page: 357-379
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: 21st International Symposium on Automated Technology for Verification
and Analysis
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031453281'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Learning provably stabilizing neural controllers for discrete-time stochastic
systems
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 14215
year: '2023'
...
---
OA_place: repository
OA_type: green
_id: '14736'
abstract:
- lang: eng
text: Payment channel networks (PCNs) are a promising technology to improve the
scalability of cryptocurrencies. PCNs, however, face the challenge that the frequent
usage of certain routes may deplete channels in one direction, and hence prevent
further transactions. In order to reap the full potential of PCNs, recharging
and rebalancing mechanisms are required to provision channels, as well as an admission
control logic to decide which transactions to reject in case capacity is insufficient.
This paper presents a formal model of this optimisation problem. In particular,
we consider an online algorithms perspective, where transactions arrive over time
in an unpredictable manner. Our main contributions are competitive online algorithms
which come with provable guarantees over time. We empirically evaluate our algorithms
on randomly generated transactions to compare the average performance of our algorithms
to our theoretical bounds. We also show how this model and approach differs from
related problems in classic communication networks.
acknowledgement: Supported by the German Federal Ministry of Education and Research
(BMBF), grant 16KISK020K (6G-RIC), 2021–2025, and ERC CoG 863818 (ForM-SMArt).
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Mahsa
full_name: Bastankhah, Mahsa
last_name: Bastankhah
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Mohammad Ali
full_name: Maddah-Ali, Mohammad Ali
last_name: Maddah-Ali
- first_name: Stefan
full_name: Schmid, Stefan
last_name: Schmid
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Michelle X
full_name: Yeo, Michelle X
id: 2D82B818-F248-11E8-B48F-1D18A9856A87
last_name: Yeo
orcid: 0009-0001-3676-4809
citation:
ama: 'Bastankhah M, Chatterjee K, Maddah-Ali MA, Schmid S, Svoboda J, Yeo MX. R2:
Boosting liquidity in payment channel networks with online admission control.
In: 27th International Conference on Financial Cryptography and Data Security.
Vol 13950. Springer Nature; 2023:309-325. doi:10.1007/978-3-031-47754-6_18'
apa: 'Bastankhah, M., Chatterjee, K., Maddah-Ali, M. A., Schmid, S., Svoboda, J.,
& Yeo, M. X. (2023). R2: Boosting liquidity in payment channel networks with online
admission control. In 27th International Conference on Financial Cryptography
and Data Security (Vol. 13950, pp. 309–325). Bol, Brac, Croatia: Springer
Nature. https://doi.org/10.1007/978-3-031-47754-6_18'
chicago: 'Bastankhah, Mahsa, Krishnendu Chatterjee, Mohammad Ali Maddah-Ali, Stefan
Schmid, Jakub Svoboda, and Michelle X Yeo. “R2: Boosting Liquidity in Payment
Channel Networks with Online Admission Control.” In 27th International Conference
on Financial Cryptography and Data Security, 13950:309–25. Springer Nature,
2023. https://doi.org/10.1007/978-3-031-47754-6_18.'
ieee: 'M. Bastankhah, K. Chatterjee, M. A. Maddah-Ali, S. Schmid, J. Svoboda, and
M. X. Yeo, “R2: Boosting liquidity in payment channel networks with online admission
control,” in 27th International Conference on Financial Cryptography and Data
Security, Bol, Brac, Croatia, 2023, vol. 13950, pp. 309–325.'
ista: 'Bastankhah M, Chatterjee K, Maddah-Ali MA, Schmid S, Svoboda J, Yeo MX. 2023.
R2: Boosting liquidity in payment channel networks with online admission control.
27th International Conference on Financial Cryptography and Data Security. FC:
Financial Cryptography and Data Security, LNCS, vol. 13950, 309–325.'
mla: 'Bastankhah, Mahsa, et al. “R2: Boosting Liquidity in Payment Channel Networks
with Online Admission Control.” 27th International Conference on Financial
Cryptography and Data Security, vol. 13950, Springer Nature, 2023, pp. 309–25,
doi:10.1007/978-3-031-47754-6_18.'
short: M. Bastankhah, K. Chatterjee, M.A. Maddah-Ali, S. Schmid, J. Svoboda, M.X.
Yeo, in:, 27th International Conference on Financial Cryptography and Data Security,
Springer Nature, 2023, pp. 309–325.
conference:
end_date: 2023-05-05
location: Bol, Brac, Croatia
name: 'FC: Financial Cryptography and Data Security'
start_date: 2023-05-01
date_created: 2024-01-08T09:30:22Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2025-11-05T07:37:31Z
day: '01'
department:
- _id: KrCh
- _id: KrPi
doi: 10.1007/978-3-031-47754-6_18
ec_funded: 1
external_id:
isi:
- '001150222600018'
intvolume: ' 13950'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://openreview.net/forum?id=Dg0qdd9uha
month: '12'
oa: 1
oa_version: Submitted Version
page: 309-325
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 27th International Conference on Financial Cryptography and Data Security
publication_identifier:
eisbn:
- '9783031477546'
eissn:
- 1611-3349
isbn:
- '9783031477539'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'R2: Boosting liquidity in payment channel networks with online admission control'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13950
year: '2023'
...
---
_id: '14778'
abstract:
- lang: eng
text: 'We consider the almost-sure (a.s.) termination problem for probabilistic
programs, which are a stochastic extension of classical imperative programs. Lexicographic
ranking functions provide a sound and practical approach for termination of non-probabilistic
programs, and their extension to probabilistic programs is achieved via lexicographic
ranking supermartingales (LexRSMs). However, LexRSMs introduced in the previous
work have a limitation that impedes their automation: all of their components
have to be non-negative in all reachable states. This might result in a LexRSM
not existing even for simple terminating programs. Our contributions are twofold.
First, we introduce a generalization of LexRSMs that allows for some components
to be negative. This standard feature of non-probabilistic termination proofs
was hitherto not known to be sound in the probabilistic setting, as the soundness
proof requires a careful analysis of the underlying stochastic process. Second,
we present polynomial-time algorithms using our generalized LexRSMs for proving
a.s. termination in broad classes of linear-arithmetic programs.'
acknowledgement: This research was partially supported by the ERC CoG (grant no. 863818;
ForM-SMArt), the Czech Science Foundation (grant no. GA21-24711S), and the European
Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
Grant Agreement No. 665385.
article_number: '11'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Ehsan
full_name: Kafshdar Goharshady, Ehsan
last_name: Kafshdar Goharshady
- first_name: Petr
full_name: Novotný, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotný
- first_name: Jiří
full_name: Zárevúcky, Jiří
last_name: Zárevúcky
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: Chatterjee K, Kafshdar Goharshady E, Novotný P, Zárevúcky J, Zikelic D. On
lexicographic proof rules for probabilistic termination. Formal Aspects of
Computing. 2023;35(2). doi:10.1145/3585391
apa: Chatterjee, K., Kafshdar Goharshady, E., Novotný, P., Zárevúcky, J., &
Zikelic, D. (2023). On lexicographic proof rules for probabilistic termination.
Formal Aspects of Computing. Association for Computing Machinery. https://doi.org/10.1145/3585391
chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, Jiří Zárevúcky,
and Dorde Zikelic. “On Lexicographic Proof Rules for Probabilistic Termination.”
Formal Aspects of Computing. Association for Computing Machinery, 2023.
https://doi.org/10.1145/3585391.
ieee: K. Chatterjee, E. Kafshdar Goharshady, P. Novotný, J. Zárevúcky, and D. Zikelic,
“On lexicographic proof rules for probabilistic termination,” Formal Aspects
of Computing, vol. 35, no. 2. Association for Computing Machinery, 2023.
ista: Chatterjee K, Kafshdar Goharshady E, Novotný P, Zárevúcky J, Zikelic D. 2023.
On lexicographic proof rules for probabilistic termination. Formal Aspects of
Computing. 35(2), 11.
mla: Chatterjee, Krishnendu, et al. “On Lexicographic Proof Rules for Probabilistic
Termination.” Formal Aspects of Computing, vol. 35, no. 2, 11, Association
for Computing Machinery, 2023, doi:10.1145/3585391.
short: K. Chatterjee, E. Kafshdar Goharshady, P. Novotný, J. Zárevúcky, D. Zikelic,
Formal Aspects of Computing 35 (2023).
corr_author: '1'
date_created: 2024-01-10T09:27:43Z
date_published: 2023-06-23T00:00:00Z
date_updated: 2025-09-09T14:19:27Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3585391
ec_funded: 1
external_id:
arxiv:
- '2108.02188'
isi:
- '001035915800006'
file:
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checksum: 3bb133eeb27ec01649a9a36445d952d9
content_type: application/pdf
creator: dernst
date_created: 2024-01-16T08:11:24Z
date_updated: 2024-01-16T08:11:24Z
file_id: '14804'
file_name: 2023_FormalAspectsComputing_Chatterjee.pdf
file_size: 502522
relation: main_file
success: 1
file_date_updated: 2024-01-16T08:11:24Z
has_accepted_license: '1'
intvolume: ' 35'
isi: 1
issue: '2'
keyword:
- Theoretical Computer Science
- Software
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
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call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
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call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Formal Aspects of Computing
publication_identifier:
eissn:
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issn:
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publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
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relation: earlier_version
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scopus_import: '1'
status: public
title: On lexicographic proof rules for probabilistic termination
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image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 35
year: '2023'
...
---
OA_place: repository
OA_type: green
_id: '14830'
abstract:
- lang: eng
text: We study the problem of learning controllers for discrete-time non-linear
stochastic dynamical systems with formal reach-avoid guarantees. This work presents
the first method for providing formal reach-avoid guarantees, which combine and
generalize stability and safety guarantees, with a tolerable probability threshold
p in [0,1] over the infinite time horizon. Our method leverages advances in machine
learning literature and it represents formal certificates as neural networks.
In particular, we learn a certificate in the form of a reach-avoid supermartingale
(RASM), a novel notion that we introduce in this work. Our RASMs provide reachability
and avoidance guarantees by imposing constraints on what can be viewed as a stochastic
extension of level sets of Lyapunov functions for deterministic systems. Our approach
solves several important problems -- it can be used to learn a control policy
from scratch, to verify a reach-avoid specification for a fixed control policy,
or to fine-tune a pre-trained policy if it does not satisfy the reach-avoid specification.
We validate our approach on 3 stochastic non-linear reinforcement learning tasks.
acknowledgement: This work was supported in part by the ERC-2020-AdG 101020093, ERC
CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
for stochastic systems with reach-avoid guarantees. In: Proceedings of the
37th AAAI Conference on Artificial Intelligence. Vol 37. Association for the
Advancement of Artificial Intelligence; 2023:11926-11935. doi:10.1609/aaai.v37i10.26407'
apa: 'Zikelic, D., Lechner, M., Henzinger, T. A., & Chatterjee, K. (2023). Learning
control policies for stochastic systems with reach-avoid guarantees. In Proceedings
of the 37th AAAI Conference on Artificial Intelligence (Vol. 37, pp. 11926–11935).
Washington, DC, United States: Association for the Advancement of Artificial Intelligence.
https://doi.org/10.1609/aaai.v37i10.26407'
chicago: Zikelic, Dorde, Mathias Lechner, Thomas A Henzinger, and Krishnendu Chatterjee.
“Learning Control Policies for Stochastic Systems with Reach-Avoid Guarantees.”
In Proceedings of the 37th AAAI Conference on Artificial Intelligence,
37:11926–35. Association for the Advancement of Artificial Intelligence, 2023.
https://doi.org/10.1609/aaai.v37i10.26407.
ieee: D. Zikelic, M. Lechner, T. A. Henzinger, and K. Chatterjee, “Learning control
policies for stochastic systems with reach-avoid guarantees,” in Proceedings
of the 37th AAAI Conference on Artificial Intelligence, Washington, DC, United
States, 2023, vol. 37, no. 10, pp. 11926–11935.
ista: 'Zikelic D, Lechner M, Henzinger TA, Chatterjee K. 2023. Learning control
policies for stochastic systems with reach-avoid guarantees. Proceedings of the
37th AAAI Conference on Artificial Intelligence. AAAI: Conference on Artificial
Intelligence vol. 37, 11926–11935.'
mla: Zikelic, Dorde, et al. “Learning Control Policies for Stochastic Systems with
Reach-Avoid Guarantees.” Proceedings of the 37th AAAI Conference on Artificial
Intelligence, vol. 37, no. 10, Association for the Advancement of Artificial
Intelligence, 2023, pp. 11926–35, doi:10.1609/aaai.v37i10.26407.
short: D. Zikelic, M. Lechner, T.A. Henzinger, K. Chatterjee, in:, Proceedings of
the 37th AAAI Conference on Artificial Intelligence, Association for the Advancement
of Artificial Intelligence, 2023, pp. 11926–11935.
conference:
end_date: 2023-02-14
location: Washington, DC, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2023-02-07
corr_author: '1'
date_created: 2024-01-18T07:44:31Z
date_published: 2023-06-26T00:00:00Z
date_updated: 2025-07-03T11:38:12Z
day: '26'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v37i10.26407
ec_funded: 1
external_id:
arxiv:
- '2210.05308'
intvolume: ' 37'
issue: '10'
keyword:
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2210.05308
month: '06'
oa: 1
oa_version: Preprint
page: 11926-11935
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 37th AAAI Conference on Artificial Intelligence
publication_identifier:
eissn:
- 2374-3468
issn:
- 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
related_material:
record:
- id: '14600'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Learning control policies for stochastic systems with reach-avoid guarantees
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2023'
...
---
_id: '14990'
abstract:
- lang: eng
text: The software artefact to evaluate the approximation of stationary distributions
implementation.
article_processing_charge: No
author:
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
citation:
ama: 'Meggendorfer T. Artefact for: Correct Approximation of Stationary Distributions.
2023. doi:10.5281/ZENODO.7548214'
apa: 'Meggendorfer, T. (2023). Artefact for: Correct Approximation of Stationary
Distributions. Zenodo. https://doi.org/10.5281/ZENODO.7548214'
chicago: 'Meggendorfer, Tobias. “Artefact for: Correct Approximation of Stationary
Distributions.” Zenodo, 2023. https://doi.org/10.5281/ZENODO.7548214.'
ieee: 'T. Meggendorfer, “Artefact for: Correct Approximation of Stationary Distributions.”
Zenodo, 2023.'
ista: 'Meggendorfer T. 2023. Artefact for: Correct Approximation of Stationary Distributions,
Zenodo, 10.5281/ZENODO.7548214.'
mla: 'Meggendorfer, Tobias. Artefact for: Correct Approximation of Stationary
Distributions. Zenodo, 2023, doi:10.5281/ZENODO.7548214.'
short: T. Meggendorfer, (2023).
corr_author: '1'
date_created: 2024-02-14T14:27:06Z
date_published: 2023-01-18T00:00:00Z
date_updated: 2025-09-09T12:28:12Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.5281/ZENODO.7548214
has_accepted_license: '1'
main_file_link:
- open_access: '1'
url: https://doi.org/10.5281/zenodo.7548214
month: '01'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
record:
- id: '13139'
relation: used_in_publication
status: public
status: public
title: 'Artefact for: Correct Approximation of Stationary Distributions'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '17100'
abstract:
- lang: eng
text: "Prophet inequalities are a central object of study in optimal stopping theory.
A gambler is sent values online, sampled from an instance of independent distributions,
in an adversarial, random or selected order, depending on the model. When observing
each value, the gambler either accepts it as a reward or irrevocably rejects it
and proceeds to observe the next value. The goal of the gambler, who cannot see
the future, is maximising the expected value of the reward while competing against
the expectation of a prophet (the offline maximum). In other words, one seeks
to maximise the gambler-to-prophet ratio of the expectations.\r\nThe model, in
which the gambler selects the arrival order first, and then observes the values,
is known as Order Selection. In this model a ratio of 0.7251 has been proved to
be attainable for any instance. In very recent work, this has been improved up
to 0.7258. If the gambler chooses the arrival order (uniformly) at random, we
obtain the Random Order model. The worst case ratio over all possible instances
has been extensively studied for at least 40 years. In the recent work aforementioned,
through simulations, this ratio has been shown to be at most 0.7254 for the Random
Order model, thus establishing for the first time that carefully choosing the
order, instead of simply taking it at random, benefits the gambler. We give an
alternative, more rigorous proof of this fact, by showing mathematically that
in the Random Order model, no algorithm can achieve a ratio larger than 0.7235.
This sets a new state-of-the-art hardness for this model, and establishes more
formally that there is a real benefit in choosing the order."
acknowledgement: This research was partially supported by the EPSRC grant EP/W005573/1,
the ERC CoG 863818 (ForM-SMArt) grant, and the ANID Chile grant ACT210005. We would
like to thank Jos´e Correa and Bruno Zilotto for their precious advice, and Mona
Mohammadi and Roodabeh Safavi for early conversations.
article_number: '2304.04024'
article_processing_charge: No
arxiv: 1
author:
- first_name: Giordano
full_name: Giambartolomei, Giordano
last_name: Giambartolomei
- first_name: Frederik Mallmann-Trenn
full_name: Frederik Mallmann-Trenn, Frederik Mallmann-Trenn
last_name: Frederik Mallmann-Trenn
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
citation:
ama: 'Giambartolomei G, Frederik Mallmann-Trenn FM-T, Saona Urmeneta RJ. Prophet
inequalities: Separating random order from order selection. arXiv. doi:10.48550/arXiv.2304.04024'
apa: 'Giambartolomei, G., Frederik Mallmann-Trenn, F. M.-T., & Saona Urmeneta,
R. J. (n.d.). Prophet inequalities: Separating random order from order selection.
arXiv. https://doi.org/10.48550/arXiv.2304.04024'
chicago: 'Giambartolomei, Giordano, Frederik Mallmann-Trenn Frederik Mallmann-Trenn,
and Raimundo J Saona Urmeneta. “Prophet Inequalities: Separating Random Order
from Order Selection.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2304.04024.'
ieee: 'G. Giambartolomei, F. M.-T. Frederik Mallmann-Trenn, and R. J. Saona Urmeneta,
“Prophet inequalities: Separating random order from order selection,” arXiv.
.'
ista: 'Giambartolomei G, Frederik Mallmann-Trenn FM-T, Saona Urmeneta RJ. Prophet
inequalities: Separating random order from order selection. arXiv, 2304.04024.'
mla: 'Giambartolomei, Giordano, et al. “Prophet Inequalities: Separating Random
Order from Order Selection.” ArXiv, 2304.04024, doi:10.48550/arXiv.2304.04024.'
short: G. Giambartolomei, F.M.-T. Frederik Mallmann-Trenn, R.J. Saona Urmeneta,
ArXiv (n.d.).
date_created: 2024-06-03T07:44:54Z
date_published: 2023-04-08T00:00:00Z
date_updated: 2025-04-14T07:52:47Z
day: '08'
department:
- _id: KrCh
doi: 10.48550/arXiv.2304.04024
ec_funded: 1
external_id:
arxiv:
- '2304.04024'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.04024
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: arXiv
publication_status: submitted
status: public
title: 'Prophet inequalities: Separating random order from order selection'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
OA_type: closed access
_id: '19985'
abstract:
- lang: eng
text: We consider a natural problem dealing with weighted packet selection across
a rechargeable link, which e.g., finds applications in cryptocurrency networks.
The capacity of a link (u, v) is determined by how much nodes u and v allocate
for this link. Specifically, the input is a finite ordered sequence of packets
that arrive in both directions along a link. Given (u, v) and a packet of weight
x going from u to v, node u can either accept or reject the packet. If u accepts
the packet, the capacity on link (u, v) decreases by x. Correspondingly, v’s capacity
on (u, v) increases by x. If a node rejects the packet, this will entail a cost
affinely linear in the weight of the packet. A link is “rechargeable” in the sense
that the total capacity of the link has to remain constant, but the allocation
of capacity at the ends of the link can depend arbitrarily on the nodes’ decisions.
The goal is to minimise the sum of the capacity injected into the link and the
cost of rejecting packets. We show that the problem is NP-hard, but can be approximated
efficiently with a ratio of (1 + E) . (1 + square3) for some arbitrary E>0.
acknowledgement: We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful
discussions about different variants of the problem. This work is supported by the
European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025,
the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant
470029389 (FlexNets), 2021–2024.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Stefan
full_name: Schmid, Stefan
last_name: Schmid
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Michelle X
full_name: Yeo, Michelle X
id: 2D82B818-F248-11E8-B48F-1D18A9856A87
last_name: Yeo
orcid: 0009-0001-3676-4809
citation:
ama: 'Schmid S, Svoboda J, Yeo MX. Weighted acket selection for rechargeable links
in cryptocurrency networks: Complexity and approximation. In: 30th International
Colloquium on Structural Information and Communication Complexity. Vol 13892.
Springer Nature; 2023:576-594. doi:10.1007/978-3-031-32733-9_26'
apa: 'Schmid, S., Svoboda, J., & Yeo, M. X. (2023). Weighted acket selection
for rechargeable links in cryptocurrency networks: Complexity and approximation.
In 30th International Colloquium on Structural Information and Communication
Complexity (Vol. 13892, pp. 576–594). Alcalá de Henares, Spain: Springer Nature.
https://doi.org/10.1007/978-3-031-32733-9_26'
chicago: 'Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Acket Selection
for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.”
In 30th International Colloquium on Structural Information and Communication
Complexity, 13892:576–94. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-32733-9_26.'
ieee: 'S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted acket selection for rechargeable
links in cryptocurrency networks: Complexity and approximation,” in 30th International
Colloquium on Structural Information and Communication Complexity, Alcalá
de Henares, Spain, 2023, vol. 13892, pp. 576–594.'
ista: 'Schmid S, Svoboda J, Yeo MX. 2023. Weighted acket selection for rechargeable
links in cryptocurrency networks: Complexity and approximation. 30th International
Colloquium on Structural Information and Communication Complexity. SIROCCO: International
Colloquium on Structural Information and Communication Complexity, LNCS, vol.
13892, 576–594.'
mla: 'Schmid, Stefan, et al. “Weighted Acket Selection for Rechargeable Links in Cryptocurrency
Networks: Complexity and Approximation.” 30th International Colloquium on Structural
Information and Communication Complexity, vol. 13892, Springer Nature, 2023,
pp. 576–94, doi:10.1007/978-3-031-32733-9_26.'
short: S. Schmid, J. Svoboda, M.X. Yeo, in:, 30th International Colloquium on Structural
Information and Communication Complexity, Springer Nature, 2023, pp. 576–594.
conference:
end_date: 2023-06-09
location: Alcalá de Henares, Spain
name: 'SIROCCO: International Colloquium on Structural Information and Communication
Complexity'
start_date: 2023-06-06
corr_author: '1'
date_created: 2025-07-10T13:15:43Z
date_published: 2023-05-25T00:00:00Z
date_updated: 2025-12-02T14:02:38Z
day: '25'
department:
- _id: KrCh
- _id: KrPi
doi: 10.1007/978-3-031-32733-9_26
ec_funded: 1
external_id:
isi:
- '001292782600026'
intvolume: ' 13892'
isi: 1
language:
- iso: eng
month: '05'
oa_version: None
page: 576-594
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 30th International Colloquium on Structural Information and Communication
Complexity
publication_identifier:
eisbn:
- '9783031327339'
eissn:
- 1611-3349
isbn:
- '9783031327322'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '14820'
relation: later_version
status: public
scopus_import: '1'
status: public
title: 'Weighted acket selection for rechargeable links in cryptocurrency networks:
Complexity and approximation'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13892
year: '2023'
...
---
_id: '10770'
abstract:
- lang: eng
text: Mathematical models often aim to describe a complicated mechanism in a cohesive
and simple manner. However, reaching perfect balance between being simple enough
or overly simplistic is a challenging task. Frequently, game-theoretic models
have an underlying assumption that players, whenever they choose to execute a
specific action, do so perfectly. In fact, it is rare that action execution perfectly
coincides with intentions of individuals, giving rise to behavioural mistakes.
The concept of incompetence of players was suggested to address this issue in
game-theoretic settings. Under the assumption of incompetence, players have non-zero
probabilities of executing a different strategy from the one they chose, leading
to stochastic outcomes of the interactions. In this article, we survey results
related to the concept of incompetence in classic as well as evolutionary game
theory and provide several new results. We also suggest future extensions of the
model and argue why it is important to take into account behavioural mistakes
when analysing interactions among players in both economic and biological settings.
acknowledgement: "The authors would like to acknowledge stimulating email discussions
with Dr Wayne Lobb of W.A. Lobb LLC on the topic of evolutionary games. We also
thank Dr Thomas Taimre for his input to the material in Sect. 3.\r\nThe authors
would like to acknowledge partial support from the Australian Research Council under
the Discovery grant DP180101602 and support by the European Union’s Horizon 2020
research and innovation program under the Marie Sklodowska-Curie Grant Agreement
#754411."
article_processing_charge: No
article_type: original
author:
- first_name: Thomas
full_name: Graham, Thomas
last_name: Graham
- first_name: Maria
full_name: Kleshnina, Maria
id: 4E21749C-F248-11E8-B48F-1D18A9856A87
last_name: Kleshnina
- first_name: Jerzy A.
full_name: Filar, Jerzy A.
last_name: Filar
citation:
ama: Graham T, Kleshnina M, Filar JA. Where do mistakes lead? A survey of games
with incompetent players. Dynamic Games and Applications. 2023;13:231-264.
doi:10.1007/s13235-022-00425-3
apa: Graham, T., Kleshnina, M., & Filar, J. A. (2023). Where do mistakes lead?
A survey of games with incompetent players. Dynamic Games and Applications.
Springer Nature. https://doi.org/10.1007/s13235-022-00425-3
chicago: Graham, Thomas, Maria Kleshnina, and Jerzy A. Filar. “Where Do Mistakes
Lead? A Survey of Games with Incompetent Players.” Dynamic Games and Applications.
Springer Nature, 2023. https://doi.org/10.1007/s13235-022-00425-3.
ieee: T. Graham, M. Kleshnina, and J. A. Filar, “Where do mistakes lead? A survey
of games with incompetent players,” Dynamic Games and Applications, vol.
13. Springer Nature, pp. 231–264, 2023.
ista: Graham T, Kleshnina M, Filar JA. 2023. Where do mistakes lead? A survey of
games with incompetent players. Dynamic Games and Applications. 13, 231–264.
mla: Graham, Thomas, et al. “Where Do Mistakes Lead? A Survey of Games with Incompetent
Players.” Dynamic Games and Applications, vol. 13, Springer Nature, 2023,
pp. 231–64, doi:10.1007/s13235-022-00425-3.
short: T. Graham, M. Kleshnina, J.A. Filar, Dynamic Games and Applications 13 (2023)
231–264.
date_created: 2022-02-20T23:01:32Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2025-04-14T07:43:48Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s13235-022-00425-3
ec_funded: 1
external_id:
isi:
- '000753777100001'
file:
- access_level: open_access
checksum: cd53b07e96f9030ddb348f305e5b58c7
content_type: application/pdf
creator: dernst
date_created: 2022-02-21T08:54:17Z
date_updated: 2022-02-21T08:54:17Z
file_id: '10781'
file_name: 2022_DynamicGamesApplic_Graham.pdf
file_size: 1890512
relation: main_file
success: 1
file_date_updated: 2022-02-21T08:54:17Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 231-264
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Dynamic Games and Applications
publication_identifier:
eissn:
- 2153-0793
issn:
- 2153-0785
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Where do mistakes lead? A survey of games with incompetent players
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2023'
...
---
_id: '14243'
abstract:
- lang: eng
text: 'Two-player zero-sum "graph games" are central in logic, verification, and
multi-agent systems. The game proceeds by placing a token on a vertex of a graph,
and allowing the players to move it to produce an infinite path, which determines
the winner or payoff of the game. Traditionally, the players alternate turns in
moving the token. In "bidding games", however, the players have budgets and in
each turn, an auction (bidding) determines which player moves the token. So far,
bidding games have only been studied as full-information games. In this work we
initiate the study of partial-information bidding games: we study bidding games
in which a player''s initial budget is drawn from a known probability distribution.
We show that while for some bidding mechanisms and objectives, it is straightforward
to adapt the results from the full-information setting to the partial-information
setting, for others, the analysis is significantly more challenging, requires
new techniques, and gives rise to interesting results. Specifically, we study
games with "mean-payoff" objectives in combination with "poorman" bidding. We
construct optimal strategies for a partially-informed player who plays against
a fully-informed adversary. We show that, somewhat surprisingly, the "value" under
pure strategies does not necessarily exist in such games.'
acknowledgement: This research was supported in part by ISF grant no.1679/21, by the
ERC CoG 863818 (ForM-SMArt), and the European Union’s Horizon 2020 research and
innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.
article_processing_charge: No
arxiv: 1
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Avni G, Jecker IR, Zikelic D. Bidding graph games with partially-observable
budgets. In: Proceedings of the 37th AAAI Conference on Artificial Intelligence.
Vol 37. AAAI Press; 2023:5464-5471. doi:10.1609/aaai.v37i5.25679'
apa: 'Avni, G., Jecker, I. R., & Zikelic, D. (2023). Bidding graph games with
partially-observable budgets. In Proceedings of the 37th AAAI Conference on
Artificial Intelligence (Vol. 37, pp. 5464–5471). Washington, DC, United States:
AAAI Press. https://doi.org/10.1609/aaai.v37i5.25679'
chicago: Avni, Guy, Ismael R Jecker, and Dorde Zikelic. “Bidding Graph Games with
Partially-Observable Budgets.” In Proceedings of the 37th AAAI Conference on
Artificial Intelligence, 37:5464–71. AAAI Press, 2023. https://doi.org/10.1609/aaai.v37i5.25679.
ieee: G. Avni, I. R. Jecker, and D. Zikelic, “Bidding graph games with partially-observable
budgets,” in Proceedings of the 37th AAAI Conference on Artificial Intelligence,
Washington, DC, United States, 2023, vol. 37, no. 5, pp. 5464–5471.
ista: 'Avni G, Jecker IR, Zikelic D. 2023. Bidding graph games with partially-observable
budgets. Proceedings of the 37th AAAI Conference on Artificial Intelligence. AAAI:
Conference on Artificial Intelligence vol. 37, 5464–5471.'
mla: Avni, Guy, et al. “Bidding Graph Games with Partially-Observable Budgets.”
Proceedings of the 37th AAAI Conference on Artificial Intelligence, vol.
37, no. 5, AAAI Press, 2023, pp. 5464–71, doi:10.1609/aaai.v37i5.25679.
short: G. Avni, I.R. Jecker, D. Zikelic, in:, Proceedings of the 37th AAAI Conference
on Artificial Intelligence, AAAI Press, 2023, pp. 5464–5471.
conference:
end_date: 2023-02-14
location: Washington, DC, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2023-02-07
das_tickbox: '1'
date_created: 2023-08-27T22:01:18Z
date_published: 2023-06-27T00:00:00Z
date_updated: 2026-07-07T06:24:15Z
day: '27'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v37i5.25679
ec_funded: 1
external_id:
arxiv:
- '2211.13626'
intvolume: ' 37'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1609/aaai.v37i5.25679
month: '06'
oa: 1
oa_version: Published Version
page: 5464-5471
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 37th AAAI Conference on Artificial Intelligence
publication_identifier:
isbn:
- '9781577358800'
publication_status: published
publisher: AAAI Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bidding graph games with partially-observable budgets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2023'
...
---
_id: '15023'
abstract:
- lang: eng
text: Reinforcement learning has shown promising results in learning neural network
policies for complicated control tasks. However, the lack of formal guarantees
about the behavior of such policies remains an impediment to their deployment.
We propose a novel method for learning a composition of neural network policies
in stochastic environments, along with a formal certificate which guarantees that
a specification over the policy's behavior is satisfied with the desired probability.
Unlike prior work on verifiable RL, our approach leverages the compositional nature
of logical specifications provided in SpectRL, to learn over graphs of probabilistic
reach-avoid specifications. The formal guarantees are provided by learning neural
network policies together with reach-avoid supermartingales (RASM) for the graph’s
sub-tasks and then composing them into a global policy. We also derive a tighter
lower bound compared to previous work on the probability of reach-avoidance implied
by a RASM, which is required to find a compositional policy with an acceptable
probabilistic threshold for complex tasks with multiple edge policies. We implement
a prototype of our approach and evaluate it on a Stochastic Nine Rooms environment.
acknowledgement: "This work was supported in part by the ERC-2020-AdG 101020093 (VAMOS)
and the ERC-2020-\r\nCoG 863818 (FoRM-SMArt)."
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Abhinav
full_name: Verma, Abhinav
id: a235593c-d7fa-11eb-a0c5-b22ca3c66ee6
last_name: Verma
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
citation:
ama: 'Zikelic D, Lechner M, Verma A, Chatterjee K, Henzinger TA. Compositional policy
learning in stochastic control systems with formal guarantees. In: 37th Conference
on Neural Information Processing Systems. Neural Information Processing Systems
Foundation; 2023.'
apa: 'Zikelic, D., Lechner, M., Verma, A., Chatterjee, K., & Henzinger, T. A.
(2023). Compositional policy learning in stochastic control systems with formal
guarantees. In 37th Conference on Neural Information Processing Systems.
New Orleans, LO, United States: Neural Information Processing Systems Foundation.'
chicago: Zikelic, Dorde, Mathias Lechner, Abhinav Verma, Krishnendu Chatterjee,
and Thomas A Henzinger. “Compositional Policy Learning in Stochastic Control Systems
with Formal Guarantees.” In 37th Conference on Neural Information Processing
Systems. Neural Information Processing Systems Foundation, 2023.
ieee: D. Zikelic, M. Lechner, A. Verma, K. Chatterjee, and T. A. Henzinger, “Compositional
policy learning in stochastic control systems with formal guarantees,” in 37th
Conference on Neural Information Processing Systems, New Orleans, LO, United
States, 2023.
ista: 'Zikelic D, Lechner M, Verma A, Chatterjee K, Henzinger TA. 2023. Compositional
policy learning in stochastic control systems with formal guarantees. 37th Conference
on Neural Information Processing Systems. NeurIPS: Neural Information Processing
Systems, Advances in Neural Information Processing Systems, .'
mla: Zikelic, Dorde, et al. “Compositional Policy Learning in Stochastic Control
Systems with Formal Guarantees.” 37th Conference on Neural Information Processing
Systems, Neural Information Processing Systems Foundation, 2023.
short: D. Zikelic, M. Lechner, A. Verma, K. Chatterjee, T.A. Henzinger, in:, 37th
Conference on Neural Information Processing Systems, Neural Information Processing
Systems Foundation, 2023.
conference:
end_date: 2023-12-16
location: New Orleans, LO, United States
name: 'NeurIPS: Neural Information Processing Systems'
start_date: 2023-12-10
corr_author: '1'
das_tickbox: '1'
date_created: 2024-02-25T09:23:24Z
date_published: 2023-12-15T00:00:00Z
date_updated: 2026-07-07T06:36:54Z
day: '15'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
ec_funded: 1
external_id:
arxiv:
- '2312.01456'
file:
- access_level: open_access
checksum: 739c6d72506b778302d4e708723bf12c
content_type: application/pdf
creator: dernst
date_created: 2024-07-22T11:45:17Z
date_updated: 2024-07-22T11:45:17Z
file_id: '17309'
file_name: 2023_NeurIPS_Zikelic.pdf
file_size: 562008
relation: main_file
success: 1
file_date_updated: 2024-07-22T11:45:17Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
publication: 37th Conference on Neural Information Processing Systems
publication_identifier:
eissn:
- 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
status: public
title: Compositional policy learning in stochastic control systems with formal guarantees
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14259'
abstract:
- lang: eng
text: "We provide a learning-based technique for guessing a winning strategy in
a parity game originating from an LTL synthesis problem. A cheaply obtained guess
can be useful in several applications. Not only can the guessed strategy be applied
as best-effort in cases where the game’s huge size prohibits rigorous approaches,
but it can also increase the scalability of rigorous LTL synthesis in several
ways. Firstly, checking whether a guessed strategy is winning is easier than constructing
one. Secondly, even if the guess is wrong in some places, it can be fixed by strategy
iteration faster than constructing one from scratch. Thirdly, the guess can be
used in on-the-fly approaches to prioritize exploration in the most fruitful directions.\r\nIn
contrast to previous works, we (i) reflect the highly structured logical information
in game’s states, the so-called semantic labelling, coming from the recent LTL-to-automata
translations, and (ii) learn to reflect it properly by learning from previously
solved games, bringing the solving process closer to human-like reasoning."
acknowledgement: This research was funded in part by the German Research Foundation
(DFG) project 427755713 Group-By Objectives in Probabilistic Verification (GOPro).
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Maximilian
full_name: Prokop, Maximilian
last_name: Prokop
- first_name: Sabine
full_name: Rieder, Sabine
last_name: Rieder
citation:
ama: 'Kretinsky J, Meggendorfer T, Prokop M, Rieder S. Guessing winning policies
in LTL synthesis by semantic learning. In: 35th International Conference on
Computer Aided Verification. Vol 13964. Springer Nature; 2023:390-414. doi:10.1007/978-3-031-37706-8_20'
apa: 'Kretinsky, J., Meggendorfer, T., Prokop, M., & Rieder, S. (2023). Guessing
winning policies in LTL synthesis by semantic learning. In 35th International
Conference on Computer Aided Verification (Vol. 13964, pp. 390–414). Paris,
France: Springer Nature. https://doi.org/10.1007/978-3-031-37706-8_20'
chicago: Kretinsky, Jan, Tobias Meggendorfer, Maximilian Prokop, and Sabine Rieder.
“Guessing Winning Policies in LTL Synthesis by Semantic Learning.” In 35th
International Conference on Computer Aided Verification, 13964:390–414. Springer
Nature, 2023. https://doi.org/10.1007/978-3-031-37706-8_20.
ieee: J. Kretinsky, T. Meggendorfer, M. Prokop, and S. Rieder, “Guessing winning
policies in LTL synthesis by semantic learning,” in 35th International Conference
on Computer Aided Verification, Paris, France, 2023, vol. 13964, pp. 390–414.
ista: 'Kretinsky J, Meggendorfer T, Prokop M, Rieder S. 2023. Guessing winning policies
in LTL synthesis by semantic learning. 35th International Conference on Computer
Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 13964, 390–414.'
mla: Kretinsky, Jan, et al. “Guessing Winning Policies in LTL Synthesis by Semantic
Learning.” 35th International Conference on Computer Aided Verification,
vol. 13964, Springer Nature, 2023, pp. 390–414, doi:10.1007/978-3-031-37706-8_20.
short: J. Kretinsky, T. Meggendorfer, M. Prokop, S. Rieder, in:, 35th International
Conference on Computer Aided Verification, Springer Nature, 2023, pp. 390–414.
conference:
end_date: 2023-07-22
location: Paris, France
name: 'CAV: Computer Aided Verification'
start_date: 2023-07-17
das_tickbox: '1'
date_created: 2023-09-03T22:01:16Z
date_published: 2023-07-17T00:00:00Z
date_updated: 2026-07-07T13:39:23Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-37706-8_20
external_id:
isi:
- '001310786500020'
file:
- access_level: open_access
checksum: ed66278b61bb869e1baba3d9b9081271
content_type: application/pdf
creator: dernst
date_created: 2023-09-06T08:25:50Z
date_updated: 2023-09-06T08:25:50Z
file_id: '14276'
file_name: 2023_LNCS_CAV_Kretinsky.pdf
file_size: 428354
relation: main_file
success: 1
file_date_updated: 2023-09-06T08:25:50Z
has_accepted_license: '1'
intvolume: ' 13964'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 390-414
publication: 35th International Conference on Computer Aided Verification
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031377051'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Guessing winning policies in LTL synthesis by semantic learning
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13964
year: '2023'
...
---
_id: '12787'
abstract:
- lang: eng
text: "Populations evolve in spatially heterogeneous environments. While a certain
trait might bring a fitness advantage in some patch of the environment, a different
trait might be advantageous in another patch. Here, we study the Moran birth–death
process with two types of individuals in a population stretched across two patches
of size N, each patch favouring one of the two types. We show that the long-term
fate of such populations crucially depends on the migration rate μ\r\n between
the patches. To classify the possible fates, we use the distinction between polynomial
(short) and exponential (long) timescales. We show that when μ is high then one
of the two types fixates on the whole population after a number of steps that
is only polynomial in N. By contrast, when μ is low then each type holds majority
in the patch where it is favoured for a number of steps that is at least exponential
in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates
those two scenarios, thereby exactly delineating the situations that support long-term
coexistence of the two types. We also discuss the case of various cycle graphs
and we present computer simulations that perfectly match our analytical results."
acknowledgement: J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)
article_number: '20220685'
article_processing_charge: No
article_type: original
author:
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Kamran
full_name: Kaveh, Kamran
last_name: Kaveh
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran
process with environmental heterogeneity. Proceedings of the Royal Society
A: Mathematical, Physical and Engineering Sciences. 2023;479(2271). doi:10.1098/rspa.2022.0685'
apa: 'Svoboda, J., Tkadlec, J., Kaveh, K., & Chatterjee, K. (2023). Coexistence
times in the Moran process with environmental heterogeneity. Proceedings of
the Royal Society A: Mathematical, Physical and Engineering Sciences. The
Royal Society. https://doi.org/10.1098/rspa.2022.0685'
chicago: 'Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee.
“Coexistence Times in the Moran Process with Environmental Heterogeneity.” Proceedings
of the Royal Society A: Mathematical, Physical and Engineering Sciences. The
Royal Society, 2023. https://doi.org/10.1098/rspa.2022.0685.'
ieee: 'J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in
the Moran process with environmental heterogeneity,” Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences, vol. 479, no.
2271. The Royal Society, 2023.'
ista: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the
Moran process with environmental heterogeneity. Proceedings of the Royal Society
A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.'
mla: 'Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental
Heterogeneity.” Proceedings of the Royal Society A: Mathematical, Physical
and Engineering Sciences, vol. 479, no. 2271, 20220685, The Royal Society,
2023, doi:10.1098/rspa.2022.0685.'
short: 'J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences 479 (2023).'
date_created: 2023-04-02T22:01:09Z
date_published: 2023-03-29T00:00:00Z
date_updated: 2026-07-27T12:52:03Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2022.0685
ec_funded: 1
external_id:
isi:
- '000957125500002'
file:
- access_level: open_access
checksum: 13953d349fbefcb5d21ccc6b303297eb
content_type: application/pdf
creator: dernst
date_created: 2023-04-03T06:25:29Z
date_updated: 2023-04-03T06:25:29Z
file_id: '12796'
file_name: 2023_ProceedingsRoyalSocietyA_Svoboda.pdf
file_size: 827784
relation: main_file
success: 1
file_date_updated: 2023-04-03T06:25:29Z
has_accepted_license: '1'
intvolume: ' 479'
isi: 1
issue: '2271'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
Sciences'
publication_identifier:
eissn:
- 1471-2946
issn:
- 1364-5021
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
related_material:
link:
- relation: research_data
url: https://doi.org/10.6084/m9.figshare.21261771.v1
record:
- id: '20138'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Coexistence times in the Moran process with environmental heterogeneity
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 479
year: '2023'
...
---
_id: '13967'
abstract:
- lang: eng
text: 'A classic solution technique for Markov decision processes (MDP) and stochastic
games (SG) is value iteration (VI). Due to its good practical performance, this
approximative approach is typically preferred over exact techniques, even though
no practical bounds on the imprecision of the result could be given until recently.
As a consequence, even the most used model checkers could return arbitrarily wrong
results. Over the past decade, different works derived stopping criteria, indicating
when the precision reaches the desired level, for various settings, in particular
MDP with reachability, total reward, and mean payoff, and SG with reachability.In
this paper, we provide the first stopping criteria for VI on SG with total reward
and mean payoff, yielding the first anytime algorithms in these settings. To this
end, we provide the solution in two flavours: First through a reduction to the
MDP case and second directly on SG. The former is simpler and automatically utilizes
any advances on MDP. The latter allows for more local computations, heading towards
better practical efficiency.Our solution unifies the previously mentioned approaches
for MDP and SG and their underlying ideas. To achieve this, we isolate objective-specific
subroutines as well as identify objective-independent concepts. These structural
concepts, while surprisingly simple, form the very essence of the unified solution.'
acknowledgement: This research was funded in part by DFG projects 383882557 “SUV”
and 427755713 “GOPro”.
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Maximilian
full_name: Weininger, Maximilian
id: 02ab0197-cc70-11ed-ab61-918e71f56881
last_name: Weininger
orcid: 0000-0002-0163-2152
citation:
ama: 'Kretinsky J, Meggendorfer T, Weininger M. Stopping criteria for value iteration
on stochastic games with quantitative objectives. In: 38th Annual ACM/IEEE
Symposium on Logic in Computer Science. Vol 2023. IEEE; 2023. doi:10.1109/LICS56636.2023.10175771'
apa: 'Kretinsky, J., Meggendorfer, T., & Weininger, M. (2023). Stopping criteria
for value iteration on stochastic games with quantitative objectives. In 38th
Annual ACM/IEEE Symposium on Logic in Computer Science (Vol. 2023). Boston,
MA, United States: IEEE. https://doi.org/10.1109/LICS56636.2023.10175771'
chicago: Kretinsky, Jan, Tobias Meggendorfer, and Maximilian Weininger. “Stopping
Criteria for Value Iteration on Stochastic Games with Quantitative Objectives.”
In 38th Annual ACM/IEEE Symposium on Logic in Computer Science, Vol. 2023.
IEEE, 2023. https://doi.org/10.1109/LICS56636.2023.10175771.
ieee: J. Kretinsky, T. Meggendorfer, and M. Weininger, “Stopping criteria for value
iteration on stochastic games with quantitative objectives,” in 38th Annual
ACM/IEEE Symposium on Logic in Computer Science, Boston, MA, United States,
2023, vol. 2023.
ista: 'Kretinsky J, Meggendorfer T, Weininger M. 2023. Stopping criteria for value
iteration on stochastic games with quantitative objectives. 38th Annual ACM/IEEE
Symposium on Logic in Computer Science. LICS: Logic in Computer Science vol. 2023.'
mla: Kretinsky, Jan, et al. “Stopping Criteria for Value Iteration on Stochastic
Games with Quantitative Objectives.” 38th Annual ACM/IEEE Symposium on Logic
in Computer Science, vol. 2023, IEEE, 2023, doi:10.1109/LICS56636.2023.10175771.
short: J. Kretinsky, T. Meggendorfer, M. Weininger, in:, 38th Annual ACM/IEEE Symposium
on Logic in Computer Science, IEEE, 2023.
conference:
end_date: 2023-06-29
location: Boston, MA, United States
name: 'LICS: Logic in Computer Science'
start_date: 2023-06-26
corr_author: '1'
date_created: 2023-08-06T22:01:10Z
date_published: 2023-07-01T00:00:00Z
date_updated: 2026-08-12T06:39:58Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/LICS56636.2023.10175771
external_id:
arxiv:
- '2304.09930'
isi:
- '001036707700042'
intvolume: ' 2023'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.09930
month: '07'
oa: 1
oa_version: Preprint
publication: 38th Annual ACM/IEEE Symposium on Logic in Computer Science
publication_identifier:
isbn:
- '9798350335873'
issn:
- 1043-6871
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stopping criteria for value iteration on stochastic games with quantitative
objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2023
year: '2023'
...
---
_id: '14657'
abstract:
- lang: eng
text: 'Natural selection is usually studied between mutants that differ in reproductive
rate, but are subject to the same population structure. Here we explore how natural
selection acts on mutants that have the same reproductive rate, but different
population structures. In our framework, population structure is given by a graph
that specifies where offspring can disperse. The invading mutant disperses offspring
on a different graph than the resident wild-type. We find that more densely connected
dispersal graphs tend to increase the invader’s fixation probability, but the
exact relationship between structure and fixation probability is subtle. We present
three main results. First, we prove that if both invader and resident are on complete
dispersal graphs, then removing a single edge in the invader’s dispersal graph
reduces its fixation probability. Second, we show that for certain island models
higher invader’s connectivity increases its fixation probability, but the magnitude
of the effect depends on the exact layout of the connections. Third, we show that
for lattices the effect of different connectivity is comparable to that of different
fitness: for large population size, the invader’s fixation probability is either
constant or exponentially small, depending on whether it is more or less connected
than the resident.'
acknowledgement: K.C. acknowledges support from the ERC CoG 863818(ForM-SMArt). J.T.
is supported by Center for Foundations ofModern Computer Science (Charles Univ.
project UNCE/SCI/004).
article_number: '20230355'
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full_name: Tkadlec, Josef
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last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Kamran
full_name: Kaveh, Kamran
last_name: Kaveh
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Kaveh K, Chatterjee K, Nowak MA. Evolutionary dynamics of mutants
that modify population structure. Journal of the Royal Society Interface.
2023;20(208). doi:10.1098/rsif.2023.0355
apa: Tkadlec, J., Kaveh, K., Chatterjee, K., & Nowak, M. A. (2023). Evolutionary
dynamics of mutants that modify population structure. Journal of the Royal
Society Interface. Royal Society. https://doi.org/10.1098/rsif.2023.0355
chicago: Tkadlec, Josef, Kamran Kaveh, Krishnendu Chatterjee, and Martin A. Nowak.
“Evolutionary Dynamics of Mutants That Modify Population Structure.” Journal
of the Royal Society Interface. Royal Society, 2023. https://doi.org/10.1098/rsif.2023.0355.
ieee: J. Tkadlec, K. Kaveh, K. Chatterjee, and M. A. Nowak, “Evolutionary dynamics
of mutants that modify population structure,” Journal of the Royal Society
Interface, vol. 20, no. 208. Royal Society, 2023.
ista: Tkadlec J, Kaveh K, Chatterjee K, Nowak MA. 2023. Evolutionary dynamics of
mutants that modify population structure. Journal of the Royal Society Interface.
20(208), 20230355.
mla: Tkadlec, Josef, et al. “Evolutionary Dynamics of Mutants That Modify Population
Structure.” Journal of the Royal Society Interface, vol. 20, no. 208, 20230355,
Royal Society, 2023, doi:10.1098/rsif.2023.0355.
short: J. Tkadlec, K. Kaveh, K. Chatterjee, M.A. Nowak, Journal of the Royal Society
Interface 20 (2023).
date_created: 2023-12-10T23:00:58Z
date_published: 2023-11-29T00:00:00Z
date_updated: 2026-08-12T14:05:25Z
day: '29'
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doi: 10.1098/rsif.2023.0355
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call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Journal of the Royal Society Interface
publication_identifier:
eissn:
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publisher: Royal Society
quality_controlled: '1'
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title: Evolutionary dynamics of mutants that modify population structure
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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...
---
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abstract:
- lang: eng
text: Fixed-horizon planning considers a weighted graph and asks to construct a
path that maximizes the sum of weights for a given time horizon T. However, in
many scenarios, the time horizon is not fixed, but the stopping time is chosen
according to some distribution such that the expected stopping time is T. If the
stopping-time distribution is not known, then to ensure robustness, the distribution
is chosen by an adversary as the worst-case scenario. A stationary plan for every
vertex always chooses the same outgoing edge. For fixed horizon or fixed stopping-time
distribution, stationary plans are not sufficient for optimality. Quite surprisingly
we show that when an adversary chooses the stopping-time distribution with expected
stopping-time T, then stationary plans are sufficient. While computing optimal
stationary plans for fixed horizon is NP-complete, we show that computing optimal
stationary plans under adversarial stopping-time distribution can be achieved
in polynomial time.
acknowledgement: This work was partially supported by Austrian Science Fund (FWF)
NFN Grant No RiSE/SHiNE S11407 and by the grant ERC CoG 863818 (ForM-SMArt).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: Chatterjee K, Doyen L. Graph planning with expected finite horizon. Journal
of Computer and System Sciences. 2022;129:1-21. doi:10.1016/j.jcss.2022.04.003
apa: Chatterjee, K., & Doyen, L. (2022). Graph planning with expected finite
horizon. Journal of Computer and System Sciences. Elsevier. https://doi.org/10.1016/j.jcss.2022.04.003
chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected
Finite Horizon.” Journal of Computer and System Sciences. Elsevier, 2022.
https://doi.org/10.1016/j.jcss.2022.04.003.
ieee: K. Chatterjee and L. Doyen, “Graph planning with expected finite horizon,”
Journal of Computer and System Sciences, vol. 129. Elsevier, pp. 1–21,
2022.
ista: Chatterjee K, Doyen L. 2022. Graph planning with expected finite horizon.
Journal of Computer and System Sciences. 129, 1–21.
mla: Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite
Horizon.” Journal of Computer and System Sciences, vol. 129, Elsevier,
2022, pp. 1–21, doi:10.1016/j.jcss.2022.04.003.
short: K. Chatterjee, L. Doyen, Journal of Computer and System Sciences 129 (2022)
1–21.
date_created: 2022-05-22T22:01:40Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2025-07-10T11:54:34Z
day: '01'
department:
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doi: 10.1016/j.jcss.2022.04.003
ec_funded: 1
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language:
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month: '11'
oa: 1
oa_version: Preprint
page: 1-21
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Journal of Computer and System Sciences
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issn:
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publication_status: published
publisher: Elsevier
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title: Graph planning with expected finite horizon
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volume: 129
year: '2022'
...